{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a04855a3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T08:16:49.060478Z",
     "start_time": "2024-02-02T08:16:49.054690Z"
    }
   },
   "source": [
    "蒙特卡洛模拟，也称统计模拟方法，是一种以概率统计理论为指导的数值计算方法。它使用随机数（或更常见的伪随机数）来解决很多计算问题，尤其适用于那些难以用解析方法求解的问题。蒙特卡洛模拟在多个领域都有广泛的应用，为后面使用方便，这里做几个例子的说明。\n",
    "蒙特卡洛模拟的优点主要包括：\n",
    "\n",
    "- 灵活性和通用性强：蒙特卡洛模拟可以处理各种类型的问题，包括确定性问题和随机性问题，能够模拟各种概率分布和随机过程。这使得它在多个领域都有广泛的应用，如金融、物理、工程等。\n",
    "- 精度高：通过大量的随机抽样和模拟试验，蒙特卡洛模拟可以得到非常精确的结果，特别是对于复杂的高维问题和非线性问题，其优势更加明显。\n",
    "- 可并行计算：蒙特卡洛模拟的各个模拟试验是相互独立的，因此可以很容易地实现并行计算，提高计算效率。\n",
    "\n",
    "蒙特卡洛模拟也存在一些缺点：\n",
    "- 计算量大：为了达到所需的精度，蒙特卡洛模拟通常需要进行大量的随机抽样和模拟试验，这可能导致计算时间较长，成本较高。\n",
    "- 收敛速度慢：蒙特卡洛模拟的收敛速度通常与问题的维度和复杂性有关。对于高维问题和复杂问题，可能需要更多的模拟试验才能达到所需的精度，这进一步增加了计算成本和时间。\n",
    "- 对随机数生成器的依赖性：蒙特卡洛模拟的结果依赖于随机数生成器的质量和性能。如果随机数生成器存在偏差或不足够随机，那么模拟结果可能会出现偏差或不准确。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab6ff7a6",
   "metadata": {},
   "source": [
    "#### 计算圆周率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4517bd2c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T08:18:12.687670Z",
     "start_time": "2024-02-02T08:17:04.877243Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "numpoint: 10 ,π: 4.0\n",
      "numpoint: 100 ,π: 3.56\n",
      "numpoint: 1000 ,π: 3.096\n",
      "numpoint: 10000 ,π: 3.1332\n",
      "numpoint: 100000 ,π: 3.14748\n",
      "numpoint: 1000000 ,π: 3.14362\n",
      "numpoint: 10000000 ,π: 3.1412104\n",
      "numpoint: 100000000 ,π: 3.1417054\n"
     ]
    }
   ],
   "source": [
    "\n",
    "import random  \n",
    "  \n",
    "def calculate_pi(num_points: int) -> float:  \n",
    "    inside_circle = 0  \n",
    "  \n",
    "    for _ in range(num_points):  \n",
    "        x = random.uniform(0, 1)  \n",
    "        y = random.uniform(0, 1)  \n",
    "  \n",
    "        # 如果点在单位圆内，那么到原点的距离会小于1  \n",
    "        if x**2 + y**2 <= 1:  \n",
    "            inside_circle += 1  \n",
    "  \n",
    "    # 由于我们在一个1x1的正方形中生成点，该正方形的面积为1。  \n",
    "    # 单位圆的面积为π/4，因此，落在单位圆内的点的比例应该接近π/4。  \n",
    "    # 所以，我们可以通过4 * (落在圆内的点数 / 总点数) 来估算π的值。  \n",
    "    return 4 * inside_circle / num_points  \n",
    "  \n",
    "# 使用1000000个点进行模拟  \n",
    "number_points = 1\n",
    "for i in range(8):\n",
    "    number_points = number_points  * 10\n",
    "    print(\"numpoint:\", number_points, \",π:\",calculate_pi(number_points))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3da6be50",
   "metadata": {},
   "source": [
    "这是一个蒙特卡洛模拟，每次运行的结果可能会有所不同。要得到更准确的结果，可以增加num_points的值，但这也会增加计算的时间\n",
    "\n",
    "#### 模拟计算x^2 微积分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "ee7853fe",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T11:16:20.295376Z",
     "start_time": "2024-02-02T11:16:20.096870Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimated integral: 0.333845371572271\n",
      "True integral: 0.3333333333333333\n"
     ]
    },
    {
     "data": {
      "image/png": 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iNHjwYG3fvt3zA9/IESwAFwICpMGXOTQ4KkcBgwZWNQAeKilxvZ086X7fEyfc62u2adOmae7cudq9e7d69erl1nPS0tL0z3/+U4sWLdLOnTs1ZcoU/elPf9KmTZs82vesWbN0ww036IsvvtDIkSM1duxY/fTTT0pISNAbb7whScrNzdXhw4f19NNPu7XvvLw8/eEPf9Do0aP1+eefa+LEiZo+ffoZ+y4tLdVjjz2mF154QTt37lRsbKyKioqUnJyszZs3a+vWrerYsaNGjhypoqIij95XY8dUCOBCaKiU+aFV0kWS3vNxNfBXv5pNOMPIkdLatf99HBsrlbq4snnwYCkz87+P27aVjh49s5/Zt3J6+OGHdeWVV7rd326369FHH9XGjRuVlJQkSWrfvr02b96s9PR0DR482O3XGj9+vG688UZJ0qOPPqq///3v+vTTTzVixAg1a9ZMkhQbG6vo6Gi3952enq7OnTtr3rx5kqTOnTvryy+/1Jw5c6rtu7y8XM8995x69+7tbLv88sur9Xn++ecVHR2tTZs26ZprrnH7fTV2BAsAgEt9+/b1qP/evXtVWlp6RhgpKyvTxRdf7NFr/XqEJDw8XJGRkcrPzz+nfefm5qpfv37Vft6/f/8zXis4OPiMEZoffvhBDz74oDIzM5Wfny+Hw6HS0lIdPHjQo/fV2BEsAMCLiotd/+z0G+bW8J15xkzc/v11Lskj4eHhp9URcMYdrsvLy53/Lv7lDa9du1atW7eu1s9ms3m076CgoGqPLRaLKisrXfY3c9+hoaGyWCzV2pKTk3Xs2DE9/fTTatOmjWw2m5KSklRWVubRazd2BAvAhZISqW0bQ/rpmPY3u0ThB3ZJp/2SBWrjyUfGW33NFBMToy+//LJaW05OjjME/PpkR0+mPTwVHBwsqeqKjVPc2Xfnzp21bt26am1ZWVlu7fOjjz7Sc889p5EjR0qSDh06pKNnm486zxEsgBocPWaR1EI6xi8PQKo6z2DevHn65z//qaSkJL388sv68ssvnVMNERERuvfeezVlyhRVVlZq0KBBKigo0EcffaTIyEglJyebUkebNm1ksVj09ttva+TIkQoNDXVr3xMnTtT8+fP1wAMPaMKECcrJyVFGRoYknTFCcbqOHTvqpZdeUt++fVVYWKj77rtPoaGhpryfxoTT3AEAbhs+fLgeeugh3X///erXr5+Kiop08803V+sze/ZsPfTQQ0pLS1PXrl01YsQIrV27Vu3atTOtjtatW2vWrFmaNm2aWrZsqbvuusutfbdr106vv/66Vq1apV69emnhwoXOq0Jqmy5ZsmSJfv75Z/Xp00fjxo3T5MmTFRsba9p7aiwsxumTZV5WWFioqKgoFRQUKDIy0tTXnvjWxFr7pI9KN3WfaLxKSv57Rn+xwhVenM9UCM7q5MmTysvLU7t27RQSEuLrcuChOXPmaNGiRTp06JCvS/G5mj7L7n5/MxUCADivPPfcc+rXr5+aN2+ujz76SPPmzXOOeODcESwAAOeVPXv26JFHHtFPP/2kxMRE3XPPPUpNTfV1WY0GwQIAcF556qmn9NRTT/m6jEaLYAG4EBAg9e1TKX31lQK6XMyS3gDgBoIF4EJoqJSVHSCpm6TNvi4HAPwCf4IBgEnq+SI7wHRmfIYJFgBwjk6tOlnq6g5igJ849Rk+fTl1TzAVArhQWip161opffe9dsUPU9hX26WwMF+XhQbIarUqOjraeYOssLCwWldxBBoSwzBUWlqq/Px8RUdHy3r6jWw8QLAAXDAM6cDBAEkXyDh0yPz7UaNRadWqlSTVePdNoKGLjo52fpbrimABACawWCyKi4tTbGxstbt9Av4iKCjonEYqTiFYAICJrFarKb+cAX/FyZsAAMA0BAsAAGAaggUAADAN51gALlgsv1xuum+fLO26VDUAAGpEsABcCAuTdu4KkHShpGxflwMAfoGpEAAAYBqCBQAAMA3BAnChtFTq3q1S3UP2qrTrJVUNAIAacY4F4IJhSLt2V51jYXz1FUt6A4AbGLEAAACm8ThYfPfdd/rTn/6k5s2bKzQ0VD179tS2bdu8URsAAPAzHk2F/Pzzzxo4cKCGDh2qd955RzExMdqzZ4+aNm3qrfoAAIAf8ShYPPbYY0pISNDSpUudbe3atTO9KAAA4J88mgpZs2aN+vbtq+uvv16xsbG6+OKLtXjx4hqfY7fbVVhYWG0DAACNk0fBYt++fVq4cKE6duyod999V3feeacmT56sZcuWuXxOWlqaoqKinFtCQsI5Fw3UB4tFapNYqTbWb2VJSGBJbwBwg8Uw3L+GLjg4WH379tXHH3/sbJs8ebKysrK0ZcuWsz7HbrfLbrc7HxcWFiohIUEFBQWKjIw8h9LPNPGtibX2SR+Vbuo+AQA4HxQWFioqKqrW72+PRizi4uLUrVu3am1du3bVwYMHXT7HZrMpMjKy2gYAABonj4LFwIEDlZubW63t66+/Vps2bUwtCgAA+CePgsWUKVO0detWPfroo9q7d69eeeUVPf/880pJSfFWfYDPnDgh9bukUv3Cd+nEJYOqGgAANfIoWPTr10+rV6/Wq6++qh49emj27NlasGCBxo4d6636AJ+prJS2bQ/QttJuqtz+WVUDAKBGHt8r5JprrtE111zjjVoAAICf414hAADANAQLAABgGoIFAAAwDcECAACYxuOTN4HzSYvmhvTTMalZC1+XAgB+gWABuBAeLv141CKphaQDvi4HAPwCUyEAAMA0BAsAAGAaggXgwokT0pDfOjQkOkcnLvsdS3oDgBs4xwJwobJS2vQfq6SLVLn5I5b0BgA3MGIBAABMQ7AAAACmIVgAAADTECwAAIBpCBYAAMA0XBUC1CAszJBKS6XQMF+XAgB+gWABuBAeLpWUWCSFS/rR1+UAgF9gKgQAAJiGYAEAAExDsABcOHlSuvoqh66OzdLJEaOrGgAANeIcC8AFh0Nat94qqZ8c726oagAA1IgRCwAAYBqCBQAAMA3BAgAAmIZgAQAATEOwAAAApiFYAAAA03C5KeBCeLhkGKcelfiyFADwG4xYAAAA0xAsAACAaQgWgAsnT0rX/z+Hrr9gi07+v5tY0hsA3MA5FoALDof0+mqrpCRlrB7Gkt4A4AZGLAAAgGkIFgAAwDQECwAAYBqCBQAAMA3BAgAAmIZgAQAATMPlpoALYWFScZEhlZYqLCy/qgEAUCOPRixmzpwpi8VSbevSpYu3agN8ymKRwptYFB4bLkuT8KoGAECNPB6x6N69uzZu3PjfFwhk0AMAAFTx+ByLwMBAtWrVyrm1aNHCG3UBPme3S+PHOTT+ws2yj7u1qgEAUCOPg8WePXsUHx+v9u3ba+zYsTp48GCN/e12uwoLC6ttgD+oqJCWvWzVsm8GqeLlV6saAAA18ihYDBgwQBkZGVq/fr0WLlyovLw8XXbZZSoqKnL5nLS0NEVFRTm3hISEcy4aAAA0TBbDMIy6Pvn48eNq06aN5s+frwkTJpy1j91ul/1XQ8iFhYVKSEhQQUGBIiMj67rrs5r41sRa+6SPSjd1n2i8SkqkJk2q/l2scIUX50vh4b4tCgB8pLCwUFFRUbV+f5/TmZfR0dHq1KmT9u7d67KPzWaTzWY7l90AAAA/cU4LZBUXF+ubb75RXFycWfUAAAA/5lGwuPfee7Vp0ybt379fH3/8sa677jpZrVbdeOON3qoPAAD4EY+mQr799lvdeOONOnbsmGJiYjRo0CBt3bpVMTEx3qoPAAD4EY+CxYoVK7xVB9DghIVJ+T8Y0rFjCmu+nyW9AcANLJsJuGCxSDGxFimWReAAwF3c3RQAAJiGYAG4YLdLKXc4lNJzk+x3/IUlvQHADQQLwIWKCum5dKue+3KwKtJfYElvAHADwQIAAJiGYAEAAExDsAAAAKYhWAAAANMQLAAAgGkIFgAAwDSsvAm4EBoq5X1TKX3/vULjd1Y1AABqRLAAXAgIkNq2D5DaX+DrUgDAbzAVAgAATEOwAFwoK5Pum+rQff0yVTZ1WlUDAKBGBAvAhfJy6YmnrHpi2xCVP/VMVQMAoEYECwAAYBqCBQAAMA3BAgAAmIZgAQAATEOwAAAApiFYAAAA07DyJuBCaKj05ReV0r59Cm3/KUt6A4AbCBaACwEBUveeAVLPC31dCgD4DaZCAACAaQgWgAtlZdLMhxyaOSRTZQ/NZklvAHADwQJwobxcmvWIVbM2DVH5I3NZ0hsA3ECwAAAApiFYAAAA0xAsAACAaQgWAADANAQLAABgGoIFAAAwDStvAi6EhEifbnFIubkK6ZxZ1QAAqBHBAnDBapX6/cYq/aabr0sBAL/BVAgAADANwQJwoaxMmpdWoXlXZ6os7UmW9AYANxAsABfKy6X7/xqo+9cNUflf/8aS3gDgBoIFAAAwDcECAACY5pyCxdy5c2WxWHT33XebVA4AAPBndQ4WWVlZSk9PV69evcysBwAA+LE6BYvi4mKNHTtWixcvVtOmTc2uCQAA+Kk6BYuUlBRdffXVGjZsWK197Xa7CgsLq20AAKBx8njlzRUrVmj79u3Kyspyq39aWppmzZrlcWGAr4WESB9sdEg7diik51qW9AYAN3gULA4dOqS//OUv2rBhg0Lc/CWbmpqqqVOnOh8XFhYqISHBsyoBH7BapSFXWKUrLvJ1KQDgNzwKFtnZ2crPz1efPn2cbQ6HQx9++KH+8Y9/yG63y2q1VnuOzWaTzWYzp1oAANCgeRQsrrjiCu3YsaNa2y233KIuXbrogQceOCNUAP6svFx6fqFD2rxZtw/apaA7b5WCgnxdFgA0aB4Fi4iICPXo0aNaW3h4uJo3b35GO+Dvysqku/5ilTRY41eOVNCEmwkWAFALVt4EAACm8fiqkNNlZmaaUAYAAGgMGLEAAACmIVgAAADTECwAAIBpCBYAAMA053zyJtBY2WzS2//nkLZvl63PyqoGAECNCBaAC4GB0tW/t0q/7+frUgDAbzAVAgAATEOwAFwoL5cyllQo49bNKn9hWVUDAKBGBAvAhbIy6ZZbA3XLkkEqu21SVQMAoEYECwAAYBqCBQAAMA3BAgAAmIZgAQAATEOwAAAApiFYAAAA07DyJuCCzSb961WH9OmnsvVfxpLeAOAGggXgQmCgdP0frdIfk3xdCgD4DaZCAACAaRixAFyoqJBWv141FXJd/+8U+IfRVcMYAACX+C0JuGC3SzfcaJWUpGKFK3BUPsECAGrBVAgAADANwQIAAJiGYAEAAExDsAAAAKYhWAAAANMQLAAAgGm4dg5wIThYWvpChbRlq4J/81xVAwCgRgQLwIWgIGn8hEBpwiBJg3xdDgD4BaZCAACAaRixAFyoqJDeXeeQtm/X8D4/KnDk71h5EwBqwW9JwAW7XbrmWqukflVLehezpDcA1IapEAAAYBqCBQAAMA3BAgAAmIZgAQAATEOwAAAApiFYAAAA03DtHOBCcLD0j6cd0ubNCh70BEt6A4AbCBaAC0FBUspkqzR5sKTBvi4HAPyCR1MhCxcuVK9evRQZGanIyEglJSXpnXfe8VZtAADAz3gULC644ALNnTtX2dnZ2rZtmy6//HJde+212rlzp7fqA3zG4ZAy33coc0GOHO9nVjUAAGrk0VTIqFGjqj2eM2eOFi5cqK1bt6p79+6mFgb42smT0tBhVkkXqVjhCi/Ol8LDfV0WADRodT7HwuFwaOXKlSopKVFSUpLLfna7XXa73fm4sLCwrrsEAAANnMeXm+7YsUNNmjSRzWbTHXfcodWrV6tbt24u+6elpSkqKsq5JSQknFPBAACg4fI4WHTu3Fk5OTn65JNPdOeddyo5OVm7du1y2T81NVUFBQXO7dChQ+dUMAAAaLg8ngoJDg7WhRdeKEm65JJLlJWVpaefflrp6eln7W+z2WSz2c6tSgAA4BfOeeXNysrKaudQAACA85dHIxapqam66qqrlJiYqKKiIr3yyivKzMzUu+++6636AACAH/EoWOTn5+vmm2/W4cOHFRUVpV69eundd9/VlVde6a36TDfxrYm19kkfdfZpHZxfgoKkxx+tkDZvVtCgh6saAAA18ihYLFmyxFt1AA1OcLB0X2qgpCG/bACA2nB3UwAAYBpuQga44HBI27McUm6u+nQukbVfH8lq9XVZANCgESwAF06elPonWSV1Y0lvAHATUyEAAMA0BAsAAGAaggUAADANwQIAAJiGYAEAAExDsAAAAKbhclPAhaAgacaDDuk//1HQZdNY0hsA3ECwAFwIDpZmzraKJb0BwH1MhQAAANMwYgG4UFkp7d5ZKe3bp67t7Qro3lUKIIsDQE0IFoALJ05IPXoFSLqQJb0BwE38+QUAAExDsAAAAKYhWAAAANMQLAAAgGkIFgAAwDQECwAAYBouNwVcCAqS7p1yaknvP7OkNwC4gWABuBAcLM2bz5LeAOAJpkIAAIBpGLEAXKislA7ur5S+/16J8RUKaJvIkt4AUAuCBeDCiRNSuw4Bki5gSW8AcBN/fgEAANMQLAAAgGkIFgAAwDQECwAAYBqCBQAAMA1XhZzFxLcm1tonfVR6PVQCAIB/IVgALgQGSpMmOqSPNitw4K1VDQCAGvGbEnDBZpOeXWSVNPiXDQBQG86xAAAApmHEAnDBMKSjPxrSsWNq0dyQJaaFZLH4uiwAaNAIFoALpaVSbEuLpBYs6Q0AbmIqBAAAmIZgAQAATONRsEhLS1O/fv0UERGh2NhYjR49Wrm5ud6qDQAA+BmPgsWmTZuUkpKirVu3asOGDSovL9fvfvc7lZSUeKs+AADgRzw6eXP9+vXVHmdkZCg2NlbZ2dn67W9/a2phAADA/5zTORYFBQWSpGbNmplSDAAA8G91vty0srJSd999twYOHKgePXq47Ge322W3252PCwsL67pLoF4FBkrJf3JIW7YoMOlGlvQGADfU+TdlSkqKvvzyS23evLnGfmlpaZo1a1ZddwP4jM0mZbxklTTolw0AUJs6TYXcddddevvtt/XBBx/oggsuqLFvamqqCgoKnNuhQ4fqVCgAAGj4PBqxMAxDf/7zn7V69WplZmaqXbt2tT7HZrPJZrPVuUDAVwxDKi0xpNJShYVJlvAwlvQGgFp4FCxSUlL0yiuv6P/+7/8UERGhI0eOSJKioqIUGhrqlQIBXyktlZpEWCSFs6Q3ALjJo6mQhQsXqqCgQEOGDFFcXJxze+2117xVHwAA8CMeT4WgysS3JtbaJ31Uej1UAgBAw8G9QgAAgGkIFgAAwDQECwAAYBqCBQAAMA1rFAMuWK3SH65zSJ9+Kmv/a6saAAA1IlgALoSESCtXWSUl/bIBAGrDVAgAADANwQIAAJiGYAG4UFJSdWsQi0UqsYRXNQAAakSwAAAApuHkTS9i2W8AwPmGEQsAAGAaggUAADANwQIAAJiGYAEAAEzDyZuAC1arNHKEQ8reLmufK1nSGwDcQLAAXAgJkda+Y5XUT9KbPq4GAPwDUyEAAMA0BAsAAGAapkJ8jEW0Gq6SEik21pBKS5Uf2lbhP+6XwsN9XRYANGgEC6AGpaUWSeHSiVJflwIAfoGpEAAAYBqCBQAAMA3BAgAAmIZzLPwAJ3gCAPwFIxYAAMA0jFgALgQESIMvc0hf7FBAz4FVDQCAGhEsABdCQ6XMD62SLpL0no+rAQD/wJ9gAADANIxYNBKc4AkAaAgYsQBcKCmRYloYigk4qpIWbaoaAAA1YsQCqMHRYxZJLaRjR31dCgD4BYLFeYTpEgCAtzEVAgAATEOwAAAApiFYAAAA03COBarhPAwAwLkgWAAuBARIfftUSl99pYAuF7OkNwC4gWABuBAaKmVlB0jqJmmzr8sBAL/gcbD48MMPNW/ePGVnZ+vw4cNavXq1Ro8e7YXS0FAxXQIAcMXjsd2SkhL17t1bzz77rDfqAQAAfszjEYurrrpKV111lTdqARqU0lKpW9dK6bvvtSt+mMK+2i6Fhfm6LABo0Lx+joXdbpfdbnc+Liws9PYu0QA0hukSw5AOHAyQdIGMQ4eqGgAANfJ6sEhLS9OsWbO8vRv4ocYQPgAA1Xn9+rnU1FQVFBQ4t0OHDnl7lwAAwEe8PmJhs9lks9m8vRs0UoxqAIB/YcUfAABgGo9HLIqLi7V3717n47y8POXk5KhZs2ZKTEw0tTjAHYxqAEDD4XGw2LZtm4YOHep8PHXqVElScnKyMjIyTCsMMFNdwofF8svlpvv2ydKuS1UDAKBGFsOo32voCgsLFRUVpYKCAkVGRpr62u58eQDngpEPAOcrd7+/OccCAACYhmABAABMw91NARcq7EFaPSVVMUeKtK7lFXpqwQjTptuYUgHQWBEsABcMw6Kfv22tnyW1+u64LCzpDQC1IlgAPuDuyAcjGwD8DcECaMBYowOAvyFYAH6O8z4ANCQECwCSGB0BYA6CBQC3MToCoDYEC8AFi8VQRMxRRR8r0bHm4TJY0ts0jI4AjRdLegPwW+6ED0IMYA53v78ZsQDgt8z6Y4LwAZiHYAEAbuD8EsA9BAvAhQp7kN6edo9afXtcr7W+Vv947EqV2/hfBueGgILGjt+SgAuGYVH+N+2ULylh3zGW9EaD0tDOKSPo4BSCBQDgnDESg1MIFgCABoOA4v8IFgCARoepIt8hWAAA4GX1GXR8HWICfLp3AADQqDBiAdQgJKJI4cUnVdQkxNelAIBfIFgALgSFlOnm5fdKkmboDz6uBgD8A1MhAADANAQLAABgGoIF4ELVkt5T9NkfkzVp2gYF2St8XRIANHicYwG4YBgWfb+ri76XdOGuH1jSGwDcwIgFAAAwDcECAACYhmABAABMQ7AAAACmIVgAAADTcFUIUINAm13B9grZg/lfBQDcwW9LwIWgkDL978rJkqRU/dHH1QCAf2AqBAAAmIZgAQAATEOwAFyoKAvU+pkp2j3uBt02898KLGNJbwCoDedYAC4YlQE6uL2XDkrquv17BVSypDcA1IYRCwAAYBqCBQAAME2dgsWzzz6rtm3bKiQkRAMGDNCnn35qdl0AAMAPeRwsXnvtNU2dOlUzZszQ9u3b1bt3bw0fPlz5+fneqA8AAPgRj4PF/Pnzddttt+mWW25Rt27dtGjRIoWFhenFF1/0Rn0AAMCPeHRVSFlZmbKzs5WamupsCwgI0LBhw7Rly5azPsdut8tutzsfFxQUSJIKCwvrUm/N9ZWWmf6aOH+Vn5Skqs9poQyVlZapjCtDADRw3vh+/fXrGkbNvwc9ChZHjx6Vw+FQy5Ytq7W3bNlSX3311Vmfk5aWplmzZp3RnpCQ4MmuAR95XpIUL0njl/u0EgBwR4YyvPr6RUVFioqKcvlzr69jkZqaqqlTpzofV1ZW6qefflLz5s1lsVhM209hYaESEhJ06NAhRUZGmva6qI7jXH841vWD41w/OM71w5vH2TAMFRUVKT4+vsZ+HgWLFi1ayGq16ocffqjW/sMPP6hVq1ZnfY7NZpPNZqvWFh0d7cluPRIZGcmHth5wnOsPx7p+cJzrB8e5fnjrONc0UnGKRydvBgcH65JLLtH777/vbKusrNT777+vpKQkzysEAACNisdTIVOnTlVycrL69u2r/v37a8GCBSopKdEtt9zijfoAAIAf8ThYjBkzRj/++KP+9re/6ciRI7rooou0fv36M07orG82m00zZsw4Y9oF5uI41x+Odf3gONcPjnP9aAjH2WLUdt0IAACAm7hXCAAAMA3BAgAAmIZgAQAATEOwAAAApvGrYOHp7dpXrlypLl26KCQkRD179tS6devqqVL/5slxXrx4sS677DI1bdpUTZs21bBhw2r974Iqnn6eT1mxYoUsFotGjx7t3QIbEU+P9fHjx5WSkqK4uDjZbDZ16tSJ3x9u8PQ4L1iwQJ07d1ZoaKgSEhI0ZcoUnTx5sp6q9U8ffvihRo0apfj4eFksFr355pu1PiczM1N9+vSRzWbThRdeqIyMDO8WafiJFStWGMHBwcaLL75o7Ny507jtttuM6Oho44cffjhr/48++siwWq3G448/buzatct48MEHjaCgIGPHjh31XLl/8fQ433TTTcazzz5rfPbZZ8bu3buN8ePHG1FRUca3335bz5X7F0+P8yl5eXlG69atjcsuu8y49tpr66dYP+fpsbbb7Ubfvn2NkSNHGps3bzby8vKMzMxMIycnp54r9y+eHufly5cbNpvNWL58uZGXl2e8++67RlxcnDFlypR6rty/rFu3zpg+fbqxatUqQ5KxevXqGvvv27fPCAsLM6ZOnWrs2rXLeOaZZwyr1WqsX7/eazX6TbDo37+/kZKS4nzscDiM+Ph4Iy0t7az9b7jhBuPqq6+u1jZgwABj4sSJXq3T33l6nE9XUVFhREREGMuWLfNWiY1CXY5zRUWFcemllxovvPCCkZycTLBwk6fHeuHChUb79u2NsrKy+iqxUfD0OKekpBiXX355tbapU6caAwcO9GqdjYk7weL+++83unfvXq1tzJgxxvDhw71Wl19MhZy6XfuwYcOcbbXdrn3Lli3V+kvS8OHDXfZH3Y7z6UpLS1VeXq5mzZp5q0y/V9fj/PDDDys2NlYTJkyojzIbhboc6zVr1igpKUkpKSlq2bKlevTooUcffVQOh6O+yvY7dTnOl156qbKzs53TJfv27dO6des0cuTIeqn5fOGL70Kv393UDHW5XfuRI0fO2v/IkSNeq9Pf1eU4n+6BBx5QfHz8GR9k/FddjvPmzZu1ZMkS5eTk1EOFjUddjvW+ffv073//W2PHjtW6deu0d+9eTZo0SeXl5ZoxY0Z9lO136nKcb7rpJh09elSDBg2SYRiqqKjQHXfcob/+9a/1UfJ5w9V3YWFhoU6cOKHQ0FDT9+kXIxbwD3PnztWKFSu0evVqhYSE+LqcRqOoqEjjxo3T4sWL1aJFC1+X0+hVVlYqNjZWzz//vC655BKNGTNG06dP16JFi3xdWqOSmZmpRx99VM8995y2b9+uVatWae3atZo9e7avS8M58osRi7rcrr1Vq1Ye9UfdjvMpTzzxhObOnauNGzeqV69e3izT73l6nL/55hvt379fo0aNcrZVVlZKkgIDA5Wbm6sOHTp4t2g/VZfPdFxcnIKCgmS1Wp1tXbt21ZEjR1RWVqbg4GCv1uyP6nKcH3roIY0bN0633nqrJKlnz54qKSnR7bffrunTpysggL97zeDquzAyMtIroxWSn4xY1OV27UlJSdX6S9KGDRu4vXsN6nKcJenxxx/X7NmztX79evXt27c+SvVrnh7nLl26aMeOHcrJyXFuv//97zV06FDl5OQoISGhPsv3K3X5TA8cOFB79+51hjdJ+vrrrxUXF0eocKEux7m0tPSM8HAqzBncwso0Pvku9NppoSZbsWKFYbPZjIyMDGPXrl3G7bffbkRHRxtHjhwxDMMwxo0bZ0ybNs3Z/6OPPjICAwONJ554wti9e7cxY8YMLjd1g6fHee7cuUZwcLDx+uuvG4cPH3ZuRUVFvnoLfsHT43w6rgpxn6fH+uDBg0ZERIRx1113Gbm5ucbbb79txMbGGo888oiv3oJf8PQ4z5gxw4iIiDBeffVVY9++fcZ7771ndOjQwbjhhht89Rb8QlFRkfHZZ58Zn332mSHJmD9/vvHZZ58ZBw4cMAzDMKZNm2aMGzfO2f/U5ab33XefsXv3buPZZ5/lctNfe+aZZ4zExEQjODjY6N+/v7F161bnzwYPHmwkJydX6/+vf/3L6NSpkxEcHGx0797dWLt2bT1X7J88Oc5t2rQxJJ2xzZgxo/4L9zOefp5/jWDhGU+P9ccff2wMGDDAsNlsRvv27Y05c+YYFRUV9Vy1//HkOJeXlxszZ840OnToYISEhBgJCQnGpEmTjJ9//rn+C/cjH3zwwVl/5546tsnJycbgwYPPeM5FF11kBAcHG+3btzeWLl3q1Rq5bToAADCNX5xjAQAA/APBAgAAmIZgAQAATEOwAAAApiFYAAAA0xAsAACAaQgWAADANAQLAABgGoIFAAAwDcECAACYhmABAABMQ7AAAACm+f8jse/C5Kgq4gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np  \n",
    "import matplotlib.pyplot as plt  \n",
    "  \n",
    "# 定义函数  \n",
    "def f(x):  \n",
    "    return x**2  \n",
    "  \n",
    "# 定义积分区间  \n",
    "a = 0  \n",
    "b = 1  \n",
    "  \n",
    "# 定义模拟的总次数  \n",
    "N_trials = 1000000  \n",
    "  \n",
    "# 生成随机数  \n",
    "x = np.random.uniform(a, b, N_trials)  \n",
    "  \n",
    "# 计算函数在这些随机点上的值  \n",
    "y = f(x)  \n",
    "  \n",
    "# 估计的积分值等于y的平均值乘以区间的宽度  \n",
    "integral_estimate = np.mean(y) * (b - a)  \n",
    "  \n",
    "# 输出估计的积分值  \n",
    "print(\"Estimated integral:\", integral_estimate)  \n",
    "  \n",
    "# 真实值（用于比较）  \n",
    "true_integral = 1/3  # 因为 ∫x^2 dx 从0到1是1/3  \n",
    "print(\"True integral:\", true_integral)  \n",
    "  \n",
    "# 可视化  \n",
    "plt.hist(y, bins=50, density=True, alpha=0.6, color='g')  \n",
    "plt.axvline(x=integral_estimate, color='r', linestyle='--', label='Estimated integral')  \n",
    "plt.axvline(x=true_integral, color='b', linestyle='--', label='True integral')  \n",
    "plt.legend()  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "e8df8976",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T09:23:47.103499Z",
     "start_time": "2024-02-02T09:23:47.101318Z"
    }
   },
   "outputs": [],
   "source": [
    "####  模拟产生单个股票价格 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "9ac3caa3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T08:45:43.609114Z",
     "start_time": "2024-02-02T08:45:43.480363Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np  \n",
    "import matplotlib.pyplot as plt  \n",
    "  \n",
    "# 初始股票价格  \n",
    "initial_price = 100  \n",
    "# 模拟天数  \n",
    "num_days = 252  \n",
    "# 每日回报率的标准差  \n",
    "daily_volatility = 0.01  \n",
    "  \n",
    "# 生成随机每日回报率  \n",
    "daily_returns = np.random.normal(0, daily_volatility, num_days)  \n",
    "  \n",
    "# 模拟股票价格路径  \n",
    "price_path = [initial_price]  \n",
    "for daily_return in daily_returns:  \n",
    "    price_path.append(price_path[-1] * (1 + daily_return))  \n",
    "\n",
    "# 绘制股票价格路径  \n",
    "plt.plot(price_path)  \n",
    "plt.title('Simulated Stock Price Path')  \n",
    "plt.xlabel('Day')  \n",
    "plt.ylabel('Price')  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "7a967079",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T09:23:54.134673Z",
     "start_time": "2024-02-02T09:23:54.132619Z"
    }
   },
   "outputs": [],
   "source": [
    "####  模拟产生多个股票价格 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "f866a542",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-02-02T09:19:41.480016Z",
     "start_time": "2024-02-02T09:19:41.199262Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/ly/1ryqrn0s2bb43n57sbkb4p4c0000gn/T/ipykernel_51858/4144422653.py:28: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  prices[i, day] = prices[i, day-1] * (1 + change)\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np  \n",
    "import matplotlib.pyplot as plt  \n",
    "  \n",
    "# 股票初始价格  \n",
    "initial_price = 100  \n",
    "# 模拟的天数  \n",
    "days = 225 \n",
    "# 每天的价格变动标准差  \n",
    "volatility = 0.01  \n",
    "# 每天的收益率，假设随机事件，为0 \n",
    "daily_return = 0.00 \n",
    "# 模拟的股票个数  \n",
    "num_simulations = 100  \n",
    "  \n",
    "# 存储模拟价格的数组  \n",
    "prices = np.zeros((num_simulations, days))  \n",
    "  \n",
    "# 初始化价格  \n",
    "for i in range(num_simulations):  \n",
    "    prices[i, 0] = initial_price  \n",
    "      \n",
    "# 蒙特卡洛模拟  \n",
    "for i in range(num_simulations):  \n",
    "    for day in range(1, days):  \n",
    "        # 生成正态分布的随机变动  \n",
    "        change = np.random.normal(loc=daily_return, scale=volatility, size=1)  \n",
    "        # 计算新价格  \n",
    "        prices[i, day] = prices[i, day-1] * (1 + change)  \n",
    "\n",
    "# 绘制几条模拟路径  \n",
    "plt.figure(figsize=(10, 5))  \n",
    "for i in range(5):  # 只绘制5条路径以便观察  \n",
    "    plt.plot(prices[i, :])  \n",
    "\n",
    "plt.xlabel('Day')  \n",
    "plt.ylabel('Price')  \n",
    "plt.title('Monte Carlo Simulation of Stock Prices')  \n",
    "plt.grid(True)  \n",
    "plt.show()"
   ]
  }
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